Answer:
I think but it can also be the first one
The graph shows a proportional relationship because it is a line, and each x-value isha multiple of 2.
You solve this through error and trial.
The is to get two matching numbers at both sides.
<u>X 2x + 3 = 3 (x + 1) - x </u><u> </u><u> </u><u> </u><u>Answer</u>
0 2(0) + 3 = 3 (0 + 1) - 0 3 = 3
1 2(1) + 3 = 3 (1 + 1) - 1 5 = 5
You do this all the way to ten. So far, we know x = 0 and x = 1 is correct
Answer:
20 apples, 32 pears
Step-by-step explanation:
Using a for number of apples and p for number of pears, you get a+p=52 (amount) and 0.4a+0.5p=24 (cost).
One way of solving simultaneous equations is using like terms and adding/subtracting them to remove a variable. There aren't any like terms here, but we can create some by multiplying terms.
Multiplying the second equation by 2 gives 0.8a+p=48, so that makes a like term.
Since the symbols are the same in front of the like term, we subtract the second term from the first one. This gives 0.2a=4.
Dividing by 0.2 gives a=20.
We can sub this into either equation to get the value of p.
a+p=52, so 20+p=52, meaning p=32.
**This content involves simultaneous equations, which you may want to revise. I'm always happy to help!
Answer:
The number of small and large boxes purchased are:
- 2 small boxes.
- 6 large boxes.
Step-by-step explanation:
To solve the unknowns, two equations must be established with the information provided:
- 150X + 400Y = 2700 (the price of the boxes and the final number of nails, where X is the small boxes and Y the large boxes)
- Y = 3X (Large boxes are triple the small ones)
Then equation 2 is replaced in equation one and variable X is cleared:
- 150X + 400 (3X) = 2700
- 150X + 1200X = 2700
- 1350X = 2700
- X = 2700/1350
- <u>X = 2
</u>
Finally, the value of X is replaced in equation 2 to find the number of large boxes:
- Y = 3X
- Y = 3 (2)
- <u>Y = 6</u>